Conditions for Strong Statistical Equilibrium of Complex Mass Servicing Systems

The class of single-phase mass servicing systems (MSS) of any structure (single-element, multi-element, etc.) is considered with an arbitrary control algorithm; within this class a subclass is studied for which the final probabilities of states are independent of the form of the distribution function of the servicing time if the first moments are equal. It is shown that for the above the Kovalenko condition established by him for a special kind of MSS is a necessary and sufficient condition (a strong statistical equilibrium). It is also shown that the fulfillment of these conditions does not ensure the independence of the second moment of the lost load of the form of the distribution function of the servicing times.